Aptitude and Reasoning Questions

T is a point on the common tangents at P of two circles and if TA and TB are resectively the other tangents at A and B to the two circles drawn from the point T then

From the given answer figures, select the one in which the question figure is hidden/embedded. 

Find the sum of the measures all the exterior angles of a decagon.

Simplify 81x2 - 49y29x + 7y

In a triangle ABC, if ∡A +∡C = 140° and ∡A + 3∡B = 180°, then ∡A is equal to

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1⁄2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

Statement:

1. Some girls are stars.

2. Meena is a girl.

Conclusion I: Meena is a star
ConclusionII: Some stars are not girls

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:
I. All stars twinkle.
II. All satellites twinkle.

Conclusions:
I. Some stars are satellites.
II. Some stars twinkle.